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Goldbach Conjecture

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maximum total
26
...
{18 = 5 + 13,18 = 7 + 11}
{20 = 3 + 17,20 = 7 + 13}
{22 = 3 + 19,22 = 5 + 17,22 = 11 + 11}
{24 = 5 + 19,24 = 7 + 17,24 = 11 + 13}
{26 = 3 + 23,26 = 7 + 19,26 = 13 + 13}
distribution of the number of representations
Goldbach's conjecture is one of the oldest open problems in mathematics. The strong version reformulated by Euler states that every even positive integer greater than or equal to 4 can be written as a sum of two primes.
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